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Finding the Third Proportional to 30.66 and 63.84

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Solution

The third proportional to 30.66 and 63.84 is: 132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 63.84 = 63.84 : x
  2. Step 2: Convert to fraction form
    30.66/63.84 = 63.84/x
  3. Step 3: Cross multiply
    30.66x = 63.84 × 63.84
  4. Step 4: Simplify right side
    30.66x = 4,076.02
  5. Step 5: Solve for x
    x = 4,076.02/30.66
  6. Step 6: Final answer
    x = 132.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.